Spectral Analysis Beyond the Spectral Gap: Rapid Mixing of Quantum Gibbs Samplers in One Dimension
quant-ph, math-ph, math.MP
Submitted: 2026-10-05
Updated: 2026-10-21
Comments: 38 pages, 1 figure
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Terminology
Sources
- Quantum Metropolis Sampling
- Quantum Gibbs Samplers: the commuting case
- Thermalization time bounds for Pauli stabilizer Hamiltonians
- On the modified logarithmic Sobolev inequality for the heat-bath dynamics for 1D systems
- The modified logarithmic Sobolev inequality for quantum spin systems: classical and commuting nearest neighbour interactions
- Rapid thermalization of spin chain commuting Hamiltonians
- Entropy decay for Davies semigroups of a one dimensional quantum lattice
- Rapid thermalization of dissipative many-body dynamics of commuting Hamiltonians
- Quantum computational advantage with constant-temperature Gibbs sampling
- Modified logarithmic Sobolev inequalities for CSS codes
- Modified logarithmic Sobolev inequalities for Abelian quantum double models
- Quantum Thermal State Preparation
- An efficient and exact noncommutative quantum Gibbs sampler
- Efficient quantum Gibbs samplers with Kubo--Martin--Schwinger detailed balance condition
- Efficient thermalization and universal quantum computing with quantum Gibbs samplers
- Optimal quantum algorithm for Gibbs state preparation
- A Dobrushin condition for quantum Markov chains: Rapid mixing and conditional mutual information at high temperature
- Algorithmic Aspects of the Fermi--Hubbard Model
- Fast mixing of weakly interacting fermionic systems at any temperature
- Polynomial Time Quantum Gibbs Sampling for Fermi-Hubbard Model at any Temperature
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